Some Identities of Fully Degenerate Dowling Polynomials and Numbers

Recently, Kim-Kim introduced the degenerate Whitney numbers of the first and second kind involving the degenerate Dowling polynomials and numbers. In this paper, we introduce the fully degenerate Dowling polynomials and the fully degenerate Bell polynomials and derive some identities involving these...

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Main Authors: Lingling Luo, Yuankui Ma, Wencong Liu, Taekyun Kim
Format: Article
Language:English
Published: Wiley 2023-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2023/5460608
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author Lingling Luo
Yuankui Ma
Wencong Liu
Taekyun Kim
author_facet Lingling Luo
Yuankui Ma
Wencong Liu
Taekyun Kim
author_sort Lingling Luo
collection DOAJ
description Recently, Kim-Kim introduced the degenerate Whitney numbers of the first and second kind involving the degenerate Dowling polynomials and numbers. In this paper, we introduce the fully degenerate Dowling polynomials and the fully degenerate Bell polynomials and derive some identities involving these polynomials. We also obtain the generating functions, expressions, and recurrence relations for the fully degenerate Dowling polynomials and the fully degenerate Bell polynomials and other special polynomials and numbers.
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institution Kabale University
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publishDate 2023-01-01
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series Discrete Dynamics in Nature and Society
spelling doaj-art-ab9f1d3eb6dc4c6f8b2608b64dd1ae662025-02-03T01:29:51ZengWileyDiscrete Dynamics in Nature and Society1607-887X2023-01-01202310.1155/2023/5460608Some Identities of Fully Degenerate Dowling Polynomials and NumbersLingling Luo0Yuankui Ma1Wencong Liu2Taekyun Kim3School of ScienceSchool of ScienceSchool of ScienceSchool of ScienceRecently, Kim-Kim introduced the degenerate Whitney numbers of the first and second kind involving the degenerate Dowling polynomials and numbers. In this paper, we introduce the fully degenerate Dowling polynomials and the fully degenerate Bell polynomials and derive some identities involving these polynomials. We also obtain the generating functions, expressions, and recurrence relations for the fully degenerate Dowling polynomials and the fully degenerate Bell polynomials and other special polynomials and numbers.http://dx.doi.org/10.1155/2023/5460608
spellingShingle Lingling Luo
Yuankui Ma
Wencong Liu
Taekyun Kim
Some Identities of Fully Degenerate Dowling Polynomials and Numbers
Discrete Dynamics in Nature and Society
title Some Identities of Fully Degenerate Dowling Polynomials and Numbers
title_full Some Identities of Fully Degenerate Dowling Polynomials and Numbers
title_fullStr Some Identities of Fully Degenerate Dowling Polynomials and Numbers
title_full_unstemmed Some Identities of Fully Degenerate Dowling Polynomials and Numbers
title_short Some Identities of Fully Degenerate Dowling Polynomials and Numbers
title_sort some identities of fully degenerate dowling polynomials and numbers
url http://dx.doi.org/10.1155/2023/5460608
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AT yuankuima someidentitiesoffullydegeneratedowlingpolynomialsandnumbers
AT wencongliu someidentitiesoffullydegeneratedowlingpolynomialsandnumbers
AT taekyunkim someidentitiesoffullydegeneratedowlingpolynomialsandnumbers